01 - Preheat the oven to 350°F (175°C).
02 - Pat the duck dry with paper towels. Season thoroughly inside and out with kosher salt and freshly ground black pepper, including inside the cavity.
03 - Heat olive oil in a large Dutch oven or heavy ovenproof pot over medium-high heat.
04 - Place the duck breast side down in the pot. Sear for 5–7 minutes until the skin is crisp and golden. Turn and brown the other side for an additional 5 minutes. Remove the duck and set aside.
05 - Pour off the excess rendered fat from the pot, leaving about 2 tablespoons in the pot.
06 - Add carrots, parsnips, leeks, onion, celery, and garlic to the pot. Sauté for 7–8 minutes until lightly browned.
07 - Deglaze the pot with dry white wine, scraping up any browned bits from the bottom. Reduce the wine by half, about 2–3 minutes.
08 - Return the duck to the pot, nestling it atop the vegetables. Add chicken stock, thyme sprigs, rosemary sprigs, and bay leaf.
09 - Cover the pot and transfer to the oven. Braise for 1½ hours, basting the duck with the cooking juices halfway through.
10 - Remove the lid and increase the oven temperature to 425°F (220°C). Roast uncovered for 20 minutes until the duck skin is deeply crisp and golden.
11 - Remove the duck from the pot and let it rest for 10 minutes before carving. Serve with the braised vegetables and ladle cooking juices over each portion. Garnish with fresh chopped parsley if desired.